OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

Observateurs itératifs en horizon fini. Application à la reconstruction de données initiales pour des EDP d'évolution

Haine, Ghislain and Ramdani, Karim Observateurs itératifs en horizon fini. Application à la reconstruction de données initiales pour des EDP d'évolution. (2011) Journal Européen des Systèmes Automatisés (JESA), 45 (7-10). 715-724. ISSN 1269-6935

[img]
Preview
(Document in English)

PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
559kB

Official URL: http://dx.doi.org./10.3166/jesa.45.715-724

Abstract

A new iterative algorithm for solving initial data inverse problems from partial observations has been recently proposed in Ramdani, Tucsnak and Weiss (Ramdani et al., 2010). The algorithm, which can be used for finite-dimensional and infinite-dimensional linear systems, is based on the use of two observers (also called Luenberger observers) used iteratively back and forth in time. In this paper, we first present the algorithm in a finite-dimensional context and then generalize it to Partial Differential Equations (PDE). To conclude, the method is applied to the 1D wave equation and numerical results will be given.

Item Type:Article
Additional Information:Thanks to Lavoisier editor. The definitive version is available at http://jesa.revuesonline.com. The original PDF of the article can be found at Jesa.revuesonline website: http://jesa.revuesonline.com/article.jsp?articleId=17355
Audience (journal):Special issue journal
Uncontrolled Keywords:
Institution:French research institutions > Institut National de la Recherche en Informatique et en Automatique - INRIA (FRANCE)
Other partners > Université Henri Poincaré-Nancy1 - UHP (FRANCE)
Laboratory name:
Statistics:download
Deposited By: Ghislain Haine
Deposited On:28 Jun 2013 09:14

Repository Staff Only: item control page